Instabilities in kinetic theory and their relationship to the ergodic theorem
Analysis of PDEs
2014-03-03 v1 Spectral Theory
Abstract
A method for obtaining simple criteria for instabilities in kinetic theory is described and outlined, specifically for the relativistic Vlasov-Maxwell system. An important ingredient of the method is an analysis of a parametrized set of averaging operators along trajectories. This leads to a connection with similar problems in ergodic theory. In particular the rate of convergence in the ergodic theorem is a common feature which is studied.
Keywords
Cite
@article{arxiv.1402.7104,
title = {Instabilities in kinetic theory and their relationship to the ergodic theorem},
author = {Jonathan Ben-Artzi},
journal= {arXiv preprint arXiv:1402.7104},
year = {2014}
}
Comments
15 pages